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10-5\sqrt{13}+2\sqrt{3}-\sqrt{3}\sqrt{13}
Apply the distributive property by multiplying each term of 5+\sqrt{3} by each term of 2-\sqrt{13}.
10-5\sqrt{13}+2\sqrt{3}-\sqrt{39}
To multiply \sqrt{3} and \sqrt{13}, multiply the numbers under the square root.